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High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems

Lu, H., Berzins, M., Goodyer, C.E. and Jimack, P.K. (2005) High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems. Communications in Numerical Methods in Engineering, 21 (11). pp. 643-650. ISSN 1099-0887

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Abstract

In this paper a high-order discontinuous Galerkin method is used to solve steady-state isothermal line contact elastohydrodynamic lubrication problems. This method is found to be stable across a wide range of loads and is shown to permit accurate solutions using just a small number of degrees of freedom provided suitable grids are used.

A comparison is made between results obtained using this proposed method and those from a very large finite difference calculation in order to demonstrate excellent accuracy for a typical highly loaded test problem.

Item Type: Article
Copyright, Publisher and Additional Information: © 2005 John Wiley & Sons, Ltd. This is an author produced version of a paper published in 'Communications in Numerical Methods in Engineering'.
Keywords: elastohydrodynamic lubrication, discontinuous Galerkin, finite element method
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User: Repository Assistant
Date Deposited: 12 Dec 2006
Last Modified: 07 Jun 2014 15:19
Published Version: http://dx.doi.org/10.1002/cnm.781
Status: Published
Publisher: John Wiley & Sons, Ltd.
Refereed: Yes
Identification Number: 10.1002/cnm.781
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1781

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